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Finding the Fourth Proportional to 8,258.70, 11,398.25 and 5,276.52

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Solution

The fourth proportional to 8,258.70, 11,398.25 and 5,276.52 is: 7,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.70 : 11,398.25 = 5,276.52 : x
  2. Step 2: Convert to fraction form
    8,258.70/11,398.25 = 5,276.52/x
  3. Step 3: Cross multiply
    8,258.70x = 11,398.25 × 5,276.52
  4. Step 4: Simplify right side
    8,258.70x = 60,143,094.09
  5. Step 5: Solve for x
    x = 60,143,094.09/8,258.70
  6. Step 6: Final answer
    x = 7,282.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.